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Which expression is equivalent to 9(4q)9(4q)?\newlineChoices:\newline(A) q+13q + 13\newline(B) q+36q + 36\newline(C) 4q+94q + 9\newline(D) 36q36q

Full solution

Q. Which expression is equivalent to 9(4q)9(4q)?\newlineChoices:\newline(A) q+13q + 13\newline(B) q+36q + 36\newline(C) 4q+94q + 9\newline(D) 36q36q
  1. Apply Distributive Property: To find an expression equivalent to 9(4q)9(4q), we need to apply the distributive property of multiplication over addition.
  2. Multiply 99 by 44q: Using the distributive property, we multiply 99 by 44q: 9×4q=36q9 \times 4q = 36q.
  3. Compare with Choices: Now we compare the result with the given choices to find the equivalent expression.
  4. Match with Choice (D): The result 36q36q matches choice (D), which is 36q36q.

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